Question

what is the length of the box with volume of 432 in³, if the width is 12 in and the height is 4 in?
9
12
16
36

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular - box is $V = l\times w\times h$, where $V$ is volume, $l$ is length, $w$ is width, and $h$ is height. We need to solve for $l$.

Step2: Rearrange the formula

We can rewrite the formula as $l=\frac{V}{w\times h}$.

Step3: Substitute values

Given $V = 432$ in³, $w = 12$ in, and $h = 4$ in. Substitute these values into the formula: $l=\frac{432}{12\times4}$.

Step4: Calculate

First, calculate $12\times4 = 48$. Then, $\frac{432}{48}=9$.

Answer:

A. 9